Generalized Toffoli gates using qudit catalysis

Details Generalized Toffoli gates using qudit catalysis Generalized Toffoli gates using qudit catalysis

2009-03-24

arxiv.org/abs/0903.4123v2

Phys. Rev. A 80, 012312 (2009)

Physics

Quantum Physics

5 pages, 3 figs

Scientific paper

10.1103/PhysRevA.80.012312

We present quantum networks for a n-qubit controlled gate C^{n-1}(U) which use a higher dimensional (qudit) ancilla as a catalyser. In its simplest form the network has only n two-particle gates (qubit-qudit) -- this is the minimum number of two-body interactions needed to couple all n+1 subsystems (n qubits plus one ancilla). This class of controlled gates includes the generalised Toffoli gate C^{n-1}(X) on n qubits, which plays an important role in several quantum algorithms and error correction. A particular example implementing this model is given by the dispersive limit of a generalised Jaynes-Cummings Hamiltonian of an effective spin-s interacting with a cavity mode.

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